The height of an equilateral triangle is 4√3 . What is the perimeter of the equilateral triangle?

Solution:

Given: Height of an equilateral triangle is 4√3

We know that height of equilateral triangle h = √3 (side length)/2

⇒ 4√3 = √3 (side length)/2

⇒ side length =  8√3/ √3

= 8 units

We know the perimeter of the equilateral triangle is 3× (side length)

⇒ P= 3(8) = 24 units.

Therefore, the perimeter of the equilateral triangle is 24units.

The height of an equilateral triangle is 4√3 . What is the perimeter of the equilateral triangle?

Summary:

If the height of an equilateral triangle is 4√3, then the perimeter of the equilateral triangle is 24units.